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Finding the Fourth Proportional to 402.98, 555.81 and 253.46

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Solution

The fourth proportional to 402.98, 555.81 and 253.46 is: 349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.98 : 555.81 = 253.46 : x
  2. Step 2: Convert to fraction form
    402.98/555.81 = 253.46/x
  3. Step 3: Cross multiply
    402.98x = 555.81 × 253.46
  4. Step 4: Simplify right side
    402.98x = 140,873.14
  5. Step 5: Solve for x
    x = 140,873.14/402.98
  6. Step 6: Final answer
    x = 349.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.